Your daughter's high school Introduction to Engineering class includes a week-long exposure to an oil refractory. The model facility built by the teacher involves 6 steps, and it's obvious that most of the steps have significant leakage. If the teacher wants to have 150 ounces of product when the process is complete, how many ounces of ingredients must they begin with? The process has the following scrap rates for the corresponding step:

Step 1: 5.3%

Step 2: 1.0%

Step 3: 1.3%

Step 4: 0.8%

Step 5: 3.0%

Step 6: 3.9%

(Keep one decimal point in your answer)